Use the Laplace Transform to solve the given initial value problem. y" - 2y + 2y = cos t; y(0) = 1, y'(0) = 1 O y = (1/5)(cost - 2 sint = 4e^tcost + 3e^tsint) O y = (1/5)(cost - 2 sint = 4e^tcost - 3e^tsint) O y = 5(cost - 2 sint = 4e^tcost + 3e^tsint) O y = 5(cost - 2 sint = 4e^tcost - 3e^tsint)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 41E
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Use the Laplace Transform to solve the given
initial value problem.
y" - 2y + 2y = cos t; y(0) = 1, y'(0) = 1
O y = (1/5)(cost - 2 sint = 4e^tcost + 3e^tsint)
y = (1/5)(cost - 2 sint = 4e^tcost - 3e^tsint)
O y = 5(cost-2 sint = 4e^tcost + 3e^tsint)
O y = 5(cost-2 sint = 4e^tcost - 3e^tsint)
Transcribed Image Text:Use the Laplace Transform to solve the given initial value problem. y" - 2y + 2y = cos t; y(0) = 1, y'(0) = 1 O y = (1/5)(cost - 2 sint = 4e^tcost + 3e^tsint) y = (1/5)(cost - 2 sint = 4e^tcost - 3e^tsint) O y = 5(cost-2 sint = 4e^tcost + 3e^tsint) O y = 5(cost-2 sint = 4e^tcost - 3e^tsint)
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